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Finding the Third Proportional to 1,312,432 and 1,995,193

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Solution

The third proportional to 1,312,432 and 1,995,193 is: 3,033,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,432 : 1,995,193 = 1,995,193 : x
  2. Step 2: Convert to fraction form
    1,312,432/1,995,193 = 1,995,193/x
  3. Step 3: Cross multiply
    1,312,432x = 1,995,193 × 1,995,193
  4. Step 4: Simplify right side
    1,312,432x = 3,980,795,107,249
  5. Step 5: Solve for x
    x = 3,980,795,107,249/1,312,432
  6. Step 6: Final answer
    x = 3,033,143.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.